Answer:
a. h(x) = f(x) + g(x)
= x+4 + 2x-x
*combine like terms
x+2x-x= 2x
h(x)= 2x+4
b. h(x) = 2f(x) - g(x)
= 2(x+4) - 2x-x
= 2x+4 - 2x-x
2x-2x-x= -x
h(x)= -x+4
c. h(x) = f(x).g(x)
= x+4.2x-x
x+4
2x-x
_______
2x^2+8x
-x^2 -4x
x^2+4x
h(x)= x^2+4x
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Answers & Comments
Answer:
a. h(x) = f(x) + g(x)
= x+4 + 2x-x
*combine like terms
x+2x-x= 2x
h(x)= 2x+4
b. h(x) = 2f(x) - g(x)
= 2(x+4) - 2x-x
= 2x+4 - 2x-x
*combine like terms
2x-2x-x= -x
h(x)= -x+4
c. h(x) = f(x).g(x)
= x+4.2x-x
x+4
2x-x
_______
2x^2+8x
-x^2 -4x
_______
x^2+4x
h(x)= x^2+4x